431881344 has 96 divisors (see below), whose sum is σ = 1248893100. Its totient is φ = 143253504.

The previous prime is 431881319. The next prime is 431881363. The reversal of 431881344 is 443188134.

It can be written as a sum of positive squares in 2 ways, for example, as 421070400 + 10810944 = 20520^2 + 3288^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 431881299 and 431881308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267612 + ... + 269220.

Almost surely, 2^431881344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431881344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624446550).

431881344 is an abundant number, since it is smaller than the sum of its proper divisors (817011756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

431881344 is a wasteful number, since it uses less digits than its factorization.

431881344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1847 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 431881344 is about 20781.7550750652. The cubic root of 431881344 is about 755.8834119362.

The spelling of 431881344 in words is "four hundred thirty-one million, eight hundred eighty-one thousand, three hundred forty-four".